Black Double Diamonds have heaps of flat sections, right on the edge of the cliff for about 4cm.

Seriously, if you're scared of the bunny hill are you sure you're a "pretty good skier"? Surely if you can ski you have enough of a feel for being on snow that you should feel comfortable on the bunny hill to at least make it down safely and work on some turns. Plenty of 5 years olds do.